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Finding the Third Proportional to 171,020.25 and 395,895.75

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Solution

The third proportional to 171,020.25 and 395,895.75 is: 916,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,020.25 : 395,895.75 = 395,895.75 : x
  2. Step 2: Convert to fraction form
    171,020.25/395,895.75 = 395,895.75/x
  3. Step 3: Cross multiply
    171,020.25x = 395,895.75 × 395,895.75
  4. Step 4: Simplify right side
    171,020.25x = 156,733,444,868.06
  5. Step 5: Solve for x
    x = 156,733,444,868.06/171,020.25
  6. Step 6: Final answer
    x = 916,461.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.